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38906370 = 23251759431
BaseRepresentation
bin1001010001101…
…0101000000010
32201012122111200
42110122220002
534430000440
63505522030
7651461436
oct224325002
981178450
1038906370
111aa63a28
1211043316
1380a2b29
14524a9c6
153637c30
hex251aa02

38906370 has 96 divisors (see below), whose sum is σ = 109175040. Its totient is φ = 9576960.

The previous prime is 38906341. The next prime is 38906381. The reversal of 38906370 is 7360983.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90055 + ... + 90485.

It is an arithmetic number, because the mean of its divisors is an integer number (1137240).

Almost surely, 238906370 is an apocalyptic number.

38906370 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38906370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54587520).

38906370 is an abundant number, since it is smaller than the sum of its proper divisors (70268670).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38906370 is a wasteful number, since it uses less digits than its factorization.

38906370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 38906370 is about 6237.4970941877. The cubic root of 38906370 is about 338.8495429650.

The spelling of 38906370 in words is "thirty-eight million, nine hundred six thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 59 85 90 102 118 153 170 177 255 295 306 354 431 510 531 590 765 862 885 1003 1062 1293 1530 1770 2006 2155 2586 2655 3009 3879 4310 5015 5310 6018 6465 7327 7758 9027 10030 12930 14654 15045 18054 19395 21981 25429 30090 36635 38790 43962 45135 50858 65943 73270 76287 90270 109905 127145 131886 152574 219810 228861 254290 329715 381435 432293 457722 659430 762870 864586 1144305 1296879 2161465 2288610 2593758 3890637 4322930 6484395 7781274 12968790 19453185 38906370